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 计算数学 2017, Vol. 39 Issue (1): 59-69    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 Previous Articles  |  Next Articles A NEW FAMILY OF (2n-1)-POINT BINARY NON-STATIONARY APPROXIMATING SUBDIVISION SCHEMES
Zhang Li, Sun Yan, Tan Jieqing, Shi Jun
School of Mathematics, Hefei University of Technology, Hefei 230009, China
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Abstract： In this paper,a new family of (2n-1)-point binary non-stationary approximating subdivision schemes with shape parameter ω is presented with the help of the sine function.With the changing of n and ω,the theoretical analysis of support length and continuities of the schemes are also given.The corresponding stationary schemes include the methods given by Chaikin,Hormann,Dyn,Daniel and Hassan.With the same control points and the same continuities for the limit curves,comparisons with other methods are given.It shows that the new family of schemes can generate limit curves with better representability than the others.

 引用本文: . 一类新的(2n-1)点二重动态逼近细分[J]. 计算数学, 2017, 39(1): 59-69. . A NEW FAMILY OF (2n-1)-POINT BINARY NON-STATIONARY APPROXIMATING SUBDIVISION SCHEMES[J]. Mathematica Numerica Sinica, 2017, 39(1): 59-69.

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